« Financial Interactions and Capital Accumulation», working papers (May 2024) In a series of precedent papers, we have presented a comprehensive methodology, termed Field Economics, for translating a standard economic model into a statistical field-formalism framework. This formalism requires a large number of heterogeneous agents, possibly of different types. It reveals the emergence of collective […]
« Statistical Field Theory and Neural Structures Dynamics I: Action Functionals, Background States and External Perturbations», working papers (November 2023) This series of papers models the dynamics of a large set of interacting neurons within the framework of statistical field theory. The system is described using a two-field model. The first field represents the neuronal […]
« A Statistical Field Perspective on Capital Allocation and Accumulation: Individual dynamics», working paper (May 2023) We have shown, in a series of articles, that a classical description of a large number of economic agents can be replaced by a statistical fields formalism. To better understand the accumulation and allocation of capital among different sectors, […]
« Statistical Field Theory and Networks of Spiking Neurons », working paper (Octobre 2020) This paper models the dynamics of a large set of interacting neurons within the framework of statistical field theory. We use a method initially developed in the context of statistical field theory [44] and later adapted to complex systems in interaction […]
« A Path Integral Approach to Business Cycle Models with Large Number of Agents », working paper (October 2018) This paper presents an analytical treatment of economic systems with an arbitrary number of agents that keeps track of the systems’ interactions and agents’ complexity. This formalism does not seek to aggregate agents. It rather replaces […]
« A Path Integral Approach to Interacting Economic systems with Multiple Heterogenous Agents », working paper (June 2017) This paper presents an analytical treatment of a broad class of economic systems with an arbitrary number of agents, while keeping tracks of the system’s interactions and complexity at the individual level. In this respect, our approach […]
« How To Spend It? Capital Accumulation in a Changing World », working paper (May 2016) In a society characterized by a multitude of heterogeneous agents and a large number of possibly immaterial, i.e. cultural, educational, etc. goods, each one having distinct social (relative price) and personal value (individual preference), we study the impact of […]
« From Rationality to Irrationality : Dynamic Interacting Structures », working paper (February 2015) This article develops a general method to solve dynamic models of interactions between multiple strategic agents that extends the static model studied previously by the authors. It describes a general model of several interacting agents, their domination relations as well as […]